Reliability Analysis of an Unreliable N-Policy Queue Under Bernoulli Vacation Schedule With Two-Service Genres And Optional Repeated Service

被引：0

作者：

Begum, Anjana ^{[1
]}

Choudhury, Gautam ^{[2
,3
]}

Sarma, Hirak Jyoti ^{[2
,3
]}

Kumar, Nitin ^{[4
]}

机构：

[1] Nowgong Girls Coll, Dept Stat, Nagaon 782002, Assam, India

[2] Inst Adv Study Sci & Technol, Math & Computat Sci, Gauhati 781035, Assam, India

[3] Acad Sci & Innovat Res AcSIR, Ghaziabad 201002, Uttar Pradesh, India

[4] Indian Inst Technol, Dept Math, Jammu 181221, India

来源：

INTERNATIONAL JOURNAL OF RELIABILITY QUALITY AND SAFETY ENGINEERING | 2025年

关键词：

Bernoulli vacation schedule; breakdown; mean time to first failure; N-policy; reliability function; M/G/1; QUEUE; 2; PHASES; SERVER; SYSTEM; SUBJECT; 5G; BREAKDOWNS; NETWORKS; STATION; REPAIR;

D O I：

10.1142/S0218539325500056

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This research study undertakes a bulk arrival single server queue rendering two-heterogeneous services with optional re-service, under Bernoulli vacation schedule and N-policy subject to a random breakdown of the service station. For this model, Laplace-Stieltjes transform of the system reliability function is obtained using the supplementary variable technique. Further, the performance measure mean time to first failure of the server is derived. Moreover, a detailed numerical investigation of the model is carried out to show the applicability of the model.

引用

页数：26

共 40 条

[21] A two-stage batch arrival queueing system with a modified Bernoulli schedule vacation under N-policy
Choudhury, G
Madan, KC
MATHEMATICAL AND COMPUTER MODELLING, 2005, 42 (1-2) : 71 - 85
[22] Analysis of a queue-length-dependent vacation queue with bulk service, N-policy, set-up time and cost optimization
Karan, P.
Pradhan, S.
PERFORMANCE EVALUATION, 2025, 167
[23] An analytical approach of Markov modulated Poisson input with feedback queue and repeated service under N-policy with setup time
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QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2024, 21 (02): : 257 - 285
[24] Stationary queue and server content distribution of a bulk service vacation queue with N-policy and set-up time
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Nandy, Nilanjan
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2024, 49 (01):
[25] An repeated service queue with N-policy and setup time subject to server's breakdown and delayed repair
Kalita, Chandi Ram
Choudhury, Gautam
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (23) : 5709 - 5737
[26] On a Queueing System with Processing of Service Items Under Vacation and N-policy
Divya, V.
Krishnamoorthy, A.
Vishnevsky, V. M.
DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS (DCCN 2018), 2018, 919 : 43 - 57
[27] The N-policy for an unreliablequeue (Mx/(G1/G2)/1 queue) with optional repeated service and delayed repair
Kalita, Chandi Ram
Choudhury, Gautam
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (15) : 3717 - 3745
[28] ANALYSIS OF M/G/1 RETRIAL QUEUES WITH SECOND OPTIONAL SERVICE AND CUSTOMER BALKING UNDER TWO TYPES OF BERNOULLI VACATION SCHEDULE
Madheswari, S. Pavai
Kumar, B. Krishna
Suganthi, P.
RAIRO-OPERATIONS RESEARCH, 2019, 53 (02) : 415 - 443
[29] Batch arrival bulk service queue with unreliable server, second optional service, two different vacations and restricted admissibility policy
Ayyappan, G.
Supraja, R.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2018, 13 (02): : 600 - 627
[30] A batch arrival queue with an additional service channel under N-policy
Choudhury, G
Paul, M
APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (01) : 115 - 130

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